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Mathematics

1032972200\dfrac{103^2 - 97^2}{200} is equal to

  1. 3

  2. 4

  3. 5

  4. 6

Expansions

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Answer

By a2 - b2 = (a - b)(a + b) formula,

1032972200=(10397)(103+97)200=6×200200=6.\dfrac{103^2 - 97^2}{200} = \dfrac{(103 - 97)(103 + 97)}{200} \\[1em] = \dfrac{6 \times 200}{200} \\[1em] = 6.

Hence, Option 4 is the correct option.

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